Answer:
See below
Step-by-step explanation:
-4 (1/3)^(n-1)
Part A
<em><u>For n = 1</u></em>
-4(1/3)^(1 - 1)
-4(1/3)^0 Anything to the 0 power (except 0) is 1
-4 (1)
-4
<em><u>n = 2</u></em>
-4(1/3)^(2 - 1)
-4*(1/3)^1
-4/3
<em><u>n = 3</u></em>
- 4(1/3)^2
-4/9
<em><u>n = 4</u></em>
-4/(1/3)^3
-4 / 27
Part B
The series converges.
1/3 is between -1 <= 1/3 <= 1
Part C
<em><u>Formula</u></em>
Sum = a/(1 - r)
a = - 4
r = 1/3
Sum = -4/(1 - 1/3) = -4//2/3 = - 4/(0.666666666...) = -6
Answer: x-intercept = -94, -74, and -54
Answer:
<h2>A = 37 cm²</h2>
Step-by-step explanation:
Look at the picture.
We have two rectangles:
15cm × 2cm and 7cm × 1cm.
Calculate the areas:
A₁ = 15 · 2 = 30 cm²
A₂ = 7 · 1 = 7 cm²
The area of the figure:
A = A₁ + A₂ → A = 30 cm² + 7 cm² = 37 cm²
Answer : 19.6cm
I hope this helps you! Have a good day!
The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.
<h3>Word problems</h3>
According to the task content;
- The total distance covered running and cycling per day is; 20miles
- Additionally, she cycles a total of 105 miles each week.
From the statement above; it follows that;
The number of miles she cycles per day since 7 days make a week is;
Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.
On this note, it follows that;
Hence, The solution is 5, which represents the number of miles she runs each day.
Read more on word problems;
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